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Analytic theory of Abelian varieties

By: Swinnerton-Dyer, H.P.FMaterial type: Text

TextSeries: London Mathematical Society lecture note series, 14Publication details: Cambridge : University Press, 1974Description: viii, 90pISBN: 9781107087033; 1107087031; 9780521205269; 0521205263Subject(s): Abelian varietiesDDC classification: 512.2 Summary: The study of abelian manifolds forms a natural generalization of the theory of elliptic functions, that is, of doubly periodic functions of one complex variable. When an abelian manifold is embedded in a projective space it is termed an abelian variety in an algebraic geometrical sense. This introduction presupposes little more than a basic course in complex variables. The notes contain all the material on abelian manifolds needed for application to geometry and number theory, although they do not contain an exposition of either application. Some geometrical results are included however.

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Item type	Current library	Collection	Call number	Status	Date due	Barcode	Item holds
Reference Books	Main Library Reference	Reference	512.2 SWI (Browse shelf(Opens below))	Available		002688

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Previous	512.2 BAU Schaum's Outline of Theory and Problems of Group Theory	512.2 MAG Combinatorial group theory : presentations of groups in terms of generators and relations	512.2 MIT A Textbook of Group Theory	512.2 SWI Analytic theory of Abelian varieties	512.24 PIE Associative Algebras	512.5 BHA First course in linear algebra	512.5 DET Introduction to linear algebra and differential equations	Next

The study of abelian manifolds forms a natural generalization of the theory of elliptic functions, that is, of doubly periodic functions of one complex variable. When an abelian manifold is embedded in a projective space it is termed an abelian variety in an algebraic geometrical sense. This introduction presupposes little more than a basic course in complex variables. The notes contain all the material on abelian manifolds needed for application to geometry and number theory, although they do not contain an exposition of either application. Some geometrical results are included however.

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